Question 632837
Perform a two-tailed hypothesis test on both the legal services satisfaction and the sentence satisfaction variable’s data using a .05 significance level 
Begin by creating a null and an alternate statement.
Use Microsoft Excel to process your data.
Copy and paste the results of the output to your report in Microsoft Word.
Identify the significance level, the test statistic, and the critical value.
State whether you are rejecting or failing to reject the null hypothesis statement. 
The legal services(x1 DATA) 
6.2
4.2
6.2
4.3
3.2
-----
4.5
4.7
5.3
4.9
3.4
-----
5.5
5.8
6.2
4.2
5.7
-----
6.4
3.7
6.2
6.5
5.1
-----
6.2
6.3
6.3
5.2
4.6
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Sentence sat: x2 DATA
5.5
3.6
3.8
5.6
5.5
-----
4.4
3.1
6.9
4.6
6.8
-----
5.5
3.8
3.2
4.6
6.5
----
6.1
3.9
4.6
5.5
4.4
-----
4.7
6.2
4.7
5.5
4.8
----
I used a TI-84 calculator and got the following:
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2-Sample Ttest
-------------------- 

6.2 5.5
Mean 5.23 ; 4.95
standard deviations::  1.2 ; 1.07
Observations 25 ; 25
df = 47.85
========================
Hypothesized Mean Difference 
Ho: u1-u2 = 0
Ha: u1-u2 # 0
======================= 
t Stat :: t(x1bar - x2bar) =  0.948
p-value = 2*P(t > 0.948, , with df 47.85) = 0.35
 
==========================================
Ho:
Ha:
Identify::::: 
the significance level:: 5%  or 0.05
------
the test statistic::: 0.848
-------
the critical value::: +-invT(0.025,47.85) = +-2.01
State whether you are rejecting or failing to reject the null hypothesis statement.
Since the p-value is greater than 5%, fail to reject Ho.
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Cheers,
Stan H.